A test of the standard dark matter density evolution law using galaxy clusters and cosmic chronometers

In this letter, we implement a test of the standard law for the dark matter density evolution. For this purpose, only a flat universe and the validity of the FRW metric are assumed. A deformed dark matter density evolution law is considered, given by $rho_c(z) propto (1+z)^{3+epsilon}$, and constraints on $epsilon$ are obtained by using galaxy cluster gas mass fractions, and cosmic chronometers measurements. We find that $epsilon =0$ within 2$sigma$ c.l., in full agreement with other recent analyses.